Stochastic Methods for Flow in Porous Media Coping With Uncertainties

Stochastic Methods for Flow in Porous Media: Coping with Uncertainties explores fluid flow in complex geologic environments. The parameterization of uncertainty into flow models is important for managing water resources, preserving subsurface water quality, storing energy and wastes, and improving the safety and economics of extracting subsurface mineral and energy resources. This volume systematically introduces a number of stochastic methods for describing flow in complex porous media under uncertainties. Amongst the methods discussed are perturbative expansions, Green's function method, spectral methods, adjoint state method, Adomian decomposition, and closure approximations. The potential and limitations are discussed for each method, and solution techniques and illustrative examples are presented for some selected ones. Features: * Surveys a broad range of stochastic methods used by researchers in the community * Introduces the various methods in a tutorial way * Presents methodologies for spatially and temporally stationary as well as nonstationary flows * Covers a wide variety of flows, from steady state to transient flow, from saturated, unsaturated to two-phase flow, and from nonfractured to fractured porous flow * Compiles a number of well known results and useful formulae * Includes exercises at the end of each chapterZhang, Dongxiao is the author of 'Stochastic Methods for Flow in Porous Media Coping With Uncertainties', published 2001 under ISBN 9780127796215 and ISBN 0127796215.